id: 06261871
dt: j
an: 2014b.00463
au: Tjoe, Hartono; de la Torre, Jimmy
ti: On recognizing proportionality: does the ability to solve missing value
proportional problems presuppose the conception of proportional
reasoning?
so: J. Math. Behav. 33, 1-7 (2014).
py: 2014
pu: Elsevier, New York, NY
la: EN
cc: F83 H33
ut: missing value proportional problems; ratios; proportions; proportional
reasoning
ci:
li: doi:10.1016/j.jmathb.2013.09.002
ab: Summary: This paper investigates the relationship between the ability of
middle school students to solve missing value proportional problems and
their facility in differentiating proportional relationships from
non-proportional relationships. Students in low- and high-proficiency
groups in mathematics took a ratio-and-proportion test involving two
typical missing value proportional (MVP) and two recognizing
proportionality (RP) problems. The findings revealed that while the
students generally performed better on MVP problems than on RP
problems, the two groups differed in their performance on MVP problems,
but not on RP problems. Moreover, of those students from both the
groups who successfully solved the two MVP problems, a significantly
greater proportion of students in the high-proficiency group were
unsuccessful in solving either of the two RP problems than those in the
low-proficiency group. An analysis of performance differences between
items within the same student group showed that the effect of
differences in the structural components of RP problems to some extent
contradicted the previous findings on the effect of differences in the
structural components of MVP problems. It is hoped that these findings
can shed light on what might be missing in the teaching and learning of
proportional reasoning.
rv: